for the first question, electrons don't come from the nucleus, they come from the outer shells of an atom.
the question is right - in beta radiation a neutron in the nucleus splits into a proton and electron. The electron is then fired out from the the nucleus as it repels the positive charge.
Check question 2. The live and neutral should have an alternating current as they are part of the same circuit. Live will have an alternating p.d. while the neutral will have a p.d. close to zero.
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